Abstract
We compute for the representative scalar ordinary differential equation of maximal point symmetry the generalised symmetries of order-one and two. We examine the Lie Brackets for the generalised symmetries and see that closure does not occur for generalised symmetries of order-two. Consequently all generalised symmetries up to the maximum order possible must be admitted.
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.12785/amis/090309
Recommended Citation
Charalambous, K. and Leach, PGL
(2015)
"Algebraic Structures of Generalised Symmetries of n th-order Scalar Ordinary Differential Equations of Maximal Lie Point Symmetry,"
Applied Mathematics & Information Sciences: Vol. 09
:
Iss.
3
, Article 9.
DOI: http://dx.doi.org/10.12785/amis/090309
Available at:
https://dc.naturalspublishing.com/amis/vol09/iss3/9